Let's complete the table step by step with the given data and numerical results.
### First, Calculate the Monthly Charges
1. Copy Machine:
- List Price: \[tex]$5,210.85
- Rental Rate: 12.0%
\[
\text{Monthly Charge} = \left( \frac{12.0}{100} \right) \times 5,210.85 = 625.302
\]
2. Tent:
- List Price: \$[/tex]1,900.00
- Rental Rate: 9.0%
[tex]\[
\text{Monthly Charge} = \left( \frac{9.0}{100} \right) \times 1,900.00 = 171.0
\][/tex]
Therefore:
[tex]\[
\text{Monthly Charge for Copy Machine (a.)} = 625.302
\][/tex]
[tex]\[
\text{Monthly Charge for Tent (a.)} = 171.0
\][/tex]
### Next, Calculate the Total Rental Costs
1. Copy Machine:
- Rental Period: 6 months
- Monthly charge: 625.302
- Usage Tax: 6.5%
[tex]\[
\text{Total Rental Cost} = 625.302 \times 6 = 3751.812
\][/tex]
[tex]\[
\text{Usage Tax} = \left( \frac{6.5}{100} \right) \times 3751.812 = 243.86778
\][/tex]
[tex]\[
\text{Total Rental Cost with Tax (b.)} = 3751.812 + 243.86778 = 3995.67978
\][/tex]
2. Tent:
- Rental Period: 2 months
- Monthly charge: 171.0
- Usage Tax: 4.5%
[tex]\[
\text{Total Rental Cost} = 171.0 \times 2 = 342.0
\][/tex]
[tex]\[
\text{Usage Tax} = \left( \frac{4.5}{100} \right) \times 342.0 = 15.39
\][/tex]
[tex]\[
\text{Total Rental Cost with Tax (b.)} = 342.0 + 15.39 = 357.39
\][/tex]
Therefore:
[tex]\[
\text{Total Rental Cost for Copy Machine (b.)} = 3995.67978
\][/tex]
[tex]\[
\text{Total Rental Cost for Tent (b.)} = 357.39
\][/tex]
### Completed Table:
[tex]\[
\begin{tabular}{|c|l|l|l|l|l|l|}
\hline
Item & List Price & \begin{tabular}{c}
Rental \\
Rate
\end{tabular} & \begin{tabular}{c}
Monthly \\
Charge
\end{tabular} & \begin{tabular}{c}
Number \\
of \\
Months
\end{tabular} & \begin{tabular}{c}
Usage \\
Tax
\end{tabular} & \begin{tabular}{c}
Total Rental \\
Cost
\end{tabular} \\
\hline
\begin{tabular}{c}
copy \\
machine
\end{tabular} & \$5,210.85 & \begin{tabular}{c}
\$12.0 \% \\
of list
\end{tabular} & \emph{625.302} & 6 & \$6.5 \% & \emph{3995.67978} \\
\hline
tent & \$1,900.00 & \begin{tabular}{c}
\$9.0 \% \\
of list
\end{tabular} & \emph{171.0} & 2 & \$4.5 \% & \emph{357.39} \\
\hline
\end{tabular}
\][/tex]
